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Here's the lowdown on the situation from my perspective,
Glamping is an activity you can partake in with a girlfriend, girl who is a friend, girls who are friends, etc. Obviously, it consists of a pampered experience of being outdoors. Packing a heavier, larger tent, possible air mattress, small charcoal wok, tons of freshwater, basically whatever you can pack into your truck/car/vehicle. This is fun to do because it's not as elite or extreme therefore it doesn't require a lot of preplanning, physical stamina and endurance, and offers a friendly relaxed environment at a set place, usually a campground. The only downsides are you'll have to bring wood or buy it there, you aren't fueling your ego by risking your life, it may not be as rudimentarily exciting. Glamping is the activity that your girlfriend will be most apt to join you on and enjoy with minimal complaining and maximal compliance.
Now just like any other hobby, there is a more extreme, enthusiast-driven side to the outdoors. Will your run-of-the-mill girlfriend be into spending a 4 day hike out in bumblefuck nowhere with no vehicle, ultralightweight gear, dragging around another half of their bodyweight on their back? Probably not. Most people won't and that is totally okay. That is why you find other friends who will partake in these activities and you won't grow completely bored and annoyed by the constant powerplay relationship most people have with their partner, if they share the same furious passion of their hobby together. Not only that, you'll also have a hell of a lot more to talk about with your girlfriend when you get back from your hikes; youll have stories to tell.
TL;DR if your girlfriend doesn't share your passion of outdoors, that doesn't mean you can't do outdoors stuff to a lesser degree when you're with her.